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Finding the Fourth Proportional to 202,394.70, 303,397.65 and 157,391.10

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Solution

The fourth proportional to 202,394.70, 303,397.65 and 157,391.10 is: 235,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,394.70 : 303,397.65 = 157,391.10 : x
  2. Step 2: Convert to fraction form
    202,394.70/303,397.65 = 157,391.10/x
  3. Step 3: Cross multiply
    202,394.70x = 303,397.65 × 157,391.10
  4. Step 4: Simplify right side
    202,394.70x = 47,752,089,870.92
  5. Step 5: Solve for x
    x = 47,752,089,870.92/202,394.70
  6. Step 6: Final answer
    x = 235,935.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.